Involutive automorphisms of root systems

André HECK

doi:10.2969/jmsj/03640643

André HECK

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JOURNAL FREE ACCESS

1984 Volume 36 Issue 4 Pages 643-658

DOI https://doi.org/10.2969/jmsj/03640643

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Published: 1984 Received: November 05, 1983 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) S. Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces, J. Math. Osaka City Univ., 13 (1962), 1-34.
2) A. Borel and J. Tits, Groupes réductifs, Publ. Math. I. H. E. S., 27 (1965), 55-151.
3) N. Bourbaki, Groupes et algèbres de Lie, chap. IV, V et VI, Eléments de mathématique, vol. 34, Hermann, Paris, 1968.
4) T. Hirai, A note on automorphisms of real semi-simple Lie algebras, J. Math. Soc. Japan, 28 (1976), 250-256.
5) I. Satake, Classification theory on semi-simple algebraic groups, Lecture notes in pure and applied mathematics, vol. 3, Dekker, New York, 1971.
6) D. Schattschneider, On restricted roots of semi-simple algebraic groups, J. Math. Soc. Japan, 21 (1969), 94-115.
7) M. Sugiura, Classification over the real field, Appendix in Satake 5).
8) J. Tits, Classification of algebraic semisimple groups, Proc. of Symp. in Pure Math., vol. 9, Algebraic groups and discontinuous subgroups, Amer. Math. Soc., 1966, 33-62.

Right : [1] S. Araki, On root systems and an infinitesimal classification of irreducible symmetric spaces, J. Math. Osaka City Univ., 13 (1962), 1-34.
[2] A. Borel and J. Tits, Groupes réductifs, Publ. Math. I. H. E. S., 27 (1965), 55-151.
[3] N. Bourbaki, Groupes et algèbres de Lie, chap. IV, V et VI, Eléments de mathématique, vol. 34, Hermann, Paris, 1968.
[4] T. Hirai, A note on automorphisms of real semi-simple Lie algebras, J. Math. Soc. Japan, 28 (1976), 250-256.
[5] I. Satake, Classification theory on semi-simple algebraic groups, Lecture notes in pure and applied mathematics, vol. 3, Dekker, New York, 1971.
[6] D. Schattschneider, On restricted roots of semi-simple algebraic groups, J. Math. Soc. Japan, 21 (1969), 94-115.
[7] M. Sugiura, Classification over the real field, Appendix in Satake [5].
[8] J. Tits, Classification of algebraic semisimple groups, Proc. of Symp. in Pure Math., vol. 9, Algebraic groups and discontinuous subgroups, Amer. Math. Soc., 1966, 33-62.

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